Cl. Liao et Zy. Lee, ELASTIC STABILITY OF SKEW LAMINATED COMPOSITE PLATES SUBJECTED TO BIAXIAL FOLLOWER FORCES, International journal for numerical methods in engineering, 36(11), 1993, pp. 1825-1847
The present study investigates the elastic stability of skew laminated
composite plates subjected to biaxial inplane follower forces by the
finite element method. The plate is assumed to follow first-order shea
r deformation plate theory (FSDPT). The kinetic and strain energies of
skew laminated composite plate and the work done by the biaxial inpla
ne follower forces are derived by using tensor theory. Then, by Hamilt
on's principle, the dynamic mathematical model to describe the free vi
bration of this problem is formed. The finite element method and the i
soparametric element are utilized to discretize the continuous system
and to obtain the characteristic equations of the present problem. Fin
ally, natural vibration frequencies, buckling loads (also the instabil
ity types) and their corresponding mode shapes are found by solving th
e characteristic equations. Numerical results are presented to demonst
rate the effects of those parameters, such as various inplane force co
mbinations, skew angle and lamination scheme, on the elastic stability
of skew laminated composite plates subjected to biaxial inplane follo
wer forces.